Patients with CLL that is refractory to fludarabine have few treatment options and a poor prognosis. There is a continued need for new therapies for these CLL patients, as demonstrated by the limited responses and substantial toxicities with existing therapies. This is supported by the lack of a consensus around standard of care treatment for CLL patients with bulky fludarabine-refractory disease. The objective of this study is to confirm the response rate and disease control in the refractory setting through a controlled trial comparing ofatumumab with the physicians' choice of therapy in fludarabine-refractory, bulky lymphadenopathy patients. After 24 weeks of treatment with ofatumumab, patients will be further randomized to either extended ofatumumab treatment or observation. Patients on the physicians' choice arm will have the option of receiving ofatumumab if they experience progressive disease.